Triangular decoupling and pole placement in linear multivariable systems: a direct algebraic approach

1 July 1979

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 30 (1) , 139-152
https://doi.org/10.1080/00207177908922763

Abstract

This paper is concerned with an algebraic formulation of the state feedback triangular decoupling problem. Necessary and sufficient conditions for the existence of decoupling matrices for an (A, B, C, D) quadruple are presented. A procedure is outlined for simultaneously realizing a triangular structure and assigning any desired spectrum to the closed loop system.

Keywords

This publication has 5 references indexed in Scilit:

State feedback and inverse system†
International Journal of Control, 1977
Linear Multivariable Control
Published by Springer Nature ,1974
Relationship between triangular decoupling and invertibility of linear multivariate systems†
International Journal of Control, 1972
Input–Output Structure of Linear Systems with Application to the Decoupling Problem
SIAM Journal on Control, 1971
Triangular decoupling of linear multivariable systems
IEEE Transactions on Automatic Control, 1970